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Rajan@2021
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Find the sum of all odd numbers between 0 and 50.

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This is the basic and conceptual question from arithmetic progression chapter in which we are to find the sum of all odd numbers between 0 and 50.

Book RS Aggarwal, Class 10, chapter 5C,  question no 12.

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  1. Odd numbers between 0 and 50 are 1,3,5,7,9,....,49
    Here, a=1,d=31=2,l=49.
    We have
    l=a+(n1)d
    49=1+(n1)×2
    491=2(n1)2(n1)=48
    n1=248=24
    n=24+1=25
    Sum of odd numbers:
    Sn=n/2[a+l]
    =25/2(1+49)
    =25/2(50)
    =625.

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